A sample of an ideal gas is taken through the cyclic process
abca shown in the figure. The scale of the vertical axis
is set by pb = 9.27 kPa and pac = 4.25 kPa.
At point a, T = 198 K. (a) How many moles
of gas are in the
sample? What are (b) the temperature of the gas at
point b, (c) the temperature of the gas
at point c, and (d) the net energy added
to the gas as heat during the cycle?
A)
No. of moles, n = PV/RT
n = (4.25 x 1000 x 1.42)/(8.314 x 198) = 3.67 mol
B)
From ideal gas equation,
Tb = [(9270 x 4.76)/(4250 x 1.42)] 198 = 1447.69 K
C)
Tc = (4.76/1.42) 198 = 663.72 K
D)
Q = 0.5 x (4.76 - 1.42)(9270 - 4250) = 8383.4 J
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